SCN双二次状态变量法和优化设计
THE DESIGN OF SCN IN THE BIQUADRATIC STATE-SPACE AND ITS OPTIMIZATION
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摘要: 本文介绍了SCN双二次状态变量设计法。这种方法把n个状态的n阶滤波器压缩成用n/2个状态来描述,从而减少了设计过程中的内存需要量。文章对电路稳定性做了详细的讨论,提出了与EL-Masry(1981)相异的稳定条件。文中考虑了电路设计中存在的参数自由度,并用它进行了网络的优化设计。最后用设计实例验证了作者的设计和理论。
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关键词:
- SC网络; 状态空间; 优化设计
Abstract: An optimal design of the switched-capactitor network (SCN) in the biquadratic state-space is developed in this paper. Only n/2 states are needed to describe n-state filters in the design, so that many storages can be saved. After discussing the stability of the circuits in detail, the stable conditions which differ from EL-Masry (1981) are given. The optimum design of networks is made by the parameter freedom which exists during the design of the circuits. And an example is given for proving the corectness of this design method. -
E. I. EL-Masry, Design on Switched-Capacitor Filters in the Biquadratic State-Space Porm, Proc. 1981 IEEE Int. Symp. on Circuits Systems, April 1981, pp. 179-182.[2]万耀青, 梁庚荣, 陈志强, 最优化设计方法常用程序汇编, 工人出版社, 1983年, pp. 181-204.
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